Fast and Compact: On A Simple Class of Congestion Games

Book One

Volume

Proceedings of the AAAI Conference on Artificial Intelligence, 20

Game Theory and Economic Models

We study a simple, yet rich subclass of congestion games that we call singleton games. These games are exponentially more compact than general congestion games. In contrast with some other compact subclasses, we show tractability of many natural game-theoretic questions, such as finding a sample or optimal Nash equilibrium. For best- and better-response dynamics, we establish polynomial upper and lower bounds on the rate of convergence and present experimental results. We also consider a natural generalization of singleton games and show that many tractability results carry over.